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2232022401 = 32735428927
BaseRepresentation
bin1000010100001001…
…1111010110000001
312202112221111010100
42011002133112001
514032344204101
61005251553013
7106211606640
oct20502372601
95675844110
102232022401
11a45a11514
125235bb769
1329756401b
14172615357
15d0e44e86
hex8509f581

2232022401 has 12 divisors (see below), whose sum is σ = 3684608512. Its totient is φ = 1275441336.

The previous prime is 2232022393. The next prime is 2232022417. The reversal of 2232022401 is 1042202322.

2232022401 is a `hidden beast` number, since 223 + 20 + 22 + 401 = 666.

It is not a de Polignac number, because 2232022401 - 23 = 2232022393 is a prime.

It is a super-3 number, since 3×22320224013 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2232022501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17714401 + ... + 17714526.

Almost surely, 22232022401 is an apocalyptic number.

2232022401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2232022401 is a deficient number, since it is larger than the sum of its proper divisors (1452586111).

2232022401 is a wasteful number, since it uses less digits than its factorization.

2232022401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35428940 (or 35428937 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2232022401 is about 47244.2843209631. The cubic root of 2232022401 is about 1306.8713874351.

Adding to 2232022401 its reverse (1042202322), we get a palindrome (3274224723).

The spelling of 2232022401 in words is "two billion, two hundred thirty-two million, twenty-two thousand, four hundred one".

Divisors: 1 3 7 9 21 63 35428927 106286781 248002489 318860343 744007467 2232022401